Question

Find the x- and y-intercepts of 3x + 6y = 18

Answer 1

In order to find the x and y intercepts of an equation, you can plug in 0 for the opposite variable. Let us solve for the intercepts now.

x-intercept

We are going to plug in 0 for y and the solve for x:

$3x+6y=18$
$3x+6(0)=18$
$3x=18$
$x=6$

So now we know the x-intercept of the line is: (6, 0)

y-intercept

We are going to plug in 0 for x and solve for y:

$3x+6y=18$
$3(0)+6y=18$
$6y=18$
$y=3$

So now we know that the y-intercept for the line is: (0, 3)